(5x+2)+(7x-6)=x

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Solution for (5x+2)+(7x-6)=x equation:


Simplifying
(5x + 2) + (7x + -6) = x

Reorder the terms:
(2 + 5x) + (7x + -6) = x

Remove parenthesis around (2 + 5x)
2 + 5x + (7x + -6) = x

Reorder the terms:
2 + 5x + (-6 + 7x) = x

Remove parenthesis around (-6 + 7x)
2 + 5x + -6 + 7x = x

Reorder the terms:
2 + -6 + 5x + 7x = x

Combine like terms: 2 + -6 = -4
-4 + 5x + 7x = x

Combine like terms: 5x + 7x = 12x
-4 + 12x = x

Solving
-4 + 12x = x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
-4 + 12x + -1x = x + -1x

Combine like terms: 12x + -1x = 11x
-4 + 11x = x + -1x

Combine like terms: x + -1x = 0
-4 + 11x = 0

Add '4' to each side of the equation.
-4 + 4 + 11x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 11x = 0 + 4
11x = 0 + 4

Combine like terms: 0 + 4 = 4
11x = 4

Divide each side by '11'.
x = 0.3636363636

Simplifying
x = 0.3636363636

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